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Finding the Third Proportional to 18,162 and 41,301

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Solution

The third proportional to 18,162 and 41,301 is: 93,919.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,162 : 41,301 = 41,301 : x
  2. Step 2: Convert to fraction form
    18,162/41,301 = 41,301/x
  3. Step 3: Cross multiply
    18,162x = 41,301 × 41,301
  4. Step 4: Simplify right side
    18,162x = 1,705,772,601
  5. Step 5: Solve for x
    x = 1,705,772,601/18,162
  6. Step 6: Final answer
    x = 93,919.87

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.